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Seven-Disk Manifold, alpha-attractors and B-modes · Around

2016

Seven-Disk Manifold, alpha-attractors and B-modes

Ferrara, Sergio, Kallosh, Renata

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Cosmological alpha-attractor models in \cN=1 supergravity are based on hyperbolic geometry of a Poincar\'e disk with the radius square {\cal R}^2=3\alpha.

The predictions for the B-modes, r\approx 3\alpha {4\over N^2}, depend on moduli space geometry and are robust for a rather general class of potentials.
Here we notice that starting with M-theory compactified on a 7-manifold with G_2 holonomy, with a special choice of Betti numbers, one can obtain d=4 \cN=1 supergravity with rank 7 scalar coset \Big[{SL(2)\over SO(2)}\Big]^7.
In a model where these 7 unit size Poincar\'e disks have identified moduli one finds that 3 alpha =7.

Built on

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Then

R. Kallosh, A. Linde and D. Roest, “Superconformal Inflationary α \alpha -Attractors,” JHEP 1311
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2013
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Planck Collaboration (P.A.R. Ade et al.), “Planck 2015 results. XIII. Cosmological parameters,” arXiv:1502.01589 [astro-ph.CO]. P. A. R. Ade et al
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